Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 3221103571] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s827 geometric_solution 5.39677265 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 2310 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.079246493041 1.336379106125 0 4 4 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.302241575941 0.888804330035 3 4 5 0 1302 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474147078423 0.738516383248 4 2 0 5 2310 2031 0132 2310 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474147078423 0.738516383248 1 1 3 2 2310 0132 3201 3201 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.015704929400 0.660360134577 3 5 5 2 3201 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.108413723105 0.862597458531 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 65214852488105393/2938636595272*c_0101_4^13 + 136603396927243023/1679220911584*c_0101_4^12 - 2391484670336847905/47018185524352*c_0101_4^11 - 7382349938456811975/23509092762176*c_0101_4^10 + 8940301190359322333/47018185524352*c_0101_4^9 + 336876576310590709/734659148818*c_0101_4^8 - 2797974089735674099/6716883646336*c_0101_4^7 - 8577457918175912637/47018185524352*c_0101_4^6 + 561016144067511299/2938636595272*c_0101_4^5 + 53640288340065/6716883646336*c_0101_4^4 - 3154486310099805251/47018185524352*c_0101_4^3 + 491469444391475721/23509092762176*c_0101_4^2 + 206713472234448003/23509092762176*c_0101_4 - 159832618151483891/47018185524352, c_0011_0 - 1, c_0011_2 - 25589676546416/52475653487*c_0101_4^13 - 92920899185516/52475653487*c_0101_4^12 + 62147583675419/52475653487*c_0101_4^11 + 361183684631141/52475653487*c_0101_4^10 - 231771328789522/52475653487*c_0101_4^9 - 525058832996046/52475653487*c_0101_4^8 + 498802408051944/52475653487*c_0101_4^7 + 199838428065300/52475653487*c_0101_4^6 - 229425332848136/52475653487*c_0101_4^5 + 3730495056015/52475653487*c_0101_4^4 + 78247163536800/52475653487*c_0101_4^3 - 26287957678777/52475653487*c_0101_4^2 - 10002154796348/52475653487*c_0101_4 + 4231637703276/52475653487, c_0011_5 + 83001085256432/52475653487*c_0101_4^13 + 303241382878396/52475653487*c_0101_4^12 - 194072127324471/52475653487*c_0101_4^11 - 1172796989305452/52475653487*c_0101_4^10 + 725089632755834/52475653487*c_0101_4^9 + 1708465273649699/52475653487*c_0101_4^8 - 1577401831062920/52475653487*c_0101_4^7 - 667191535068706/52475653487*c_0101_4^6 + 721069731761451/52475653487*c_0101_4^5 - 4741059472158/52475653487*c_0101_4^4 - 250654765760983/52475653487*c_0101_4^3 + 80295657736023/52475653487*c_0101_4^2 + 32356926525742/52475653487*c_0101_4 - 12864698320178/52475653487, c_0101_0 - 66866592796624/52475653487*c_0101_4^13 - 242906103135444/52475653487*c_0101_4^12 + 162007985851613/52475653487*c_0101_4^11 + 943950776180898/52475653487*c_0101_4^10 - 604202748870118/52475653487*c_0101_4^9 - 1372682568381919/52475653487*c_0101_4^8 + 1301234982761747/52475653487*c_0101_4^7 + 523877380350678/52475653487*c_0101_4^6 - 598381523444399/52475653487*c_0101_4^5 + 8786903989837/52475653487*c_0101_4^4 + 204330273445887/52475653487*c_0101_4^3 - 68023508205815/52475653487*c_0101_4^2 - 26235482025290/52475653487*c_0101_4 + 10893655452597/52475653487, c_0101_1 + 89973468291040/52475653487*c_0101_4^13 + 327738411672024/52475653487*c_0101_4^12 - 214319187390198/52475653487*c_0101_4^11 - 1270598508679518/52475653487*c_0101_4^10 + 799926432514226/52475653487*c_0101_4^9 + 1848920225767834/52475653487*c_0101_4^8 - 1730689028082649/52475653487*c_0101_4^7 - 713052468560315/52475653487*c_0101_4^6 + 792840317129942/52475653487*c_0101_4^5 - 8678018961616/52475653487*c_0101_4^4 - 272998047995504/52475653487*c_0101_4^3 + 89433817258146/52475653487*c_0101_4^2 + 35085435274432/52475653487*c_0101_4 - 14284092263429/52475653487, c_0101_4^14 + 13/4*c_0101_4^13 - 61/16*c_0101_4^12 - 211/16*c_0101_4^11 + 231/16*c_0101_4^10 + 273/16*c_0101_4^9 - 437/16*c_0101_4^8 - 3/8*c_0101_4^7 + 191/16*c_0101_4^6 - 57/16*c_0101_4^5 - 3*c_0101_4^4 + 35/16*c_0101_4^3 - 5/16*c_0101_4 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB